中科院数学与系统科学研究院
数学研究所
学术报告会
报告人： Prof. Laurent Fargues(Institut de Mathématiques de Jussieu，CNRS )
题 目：Geometrization of the local Langlands correspondence
时 间：2016.10.24（星期一），15:30-17:00
2016.10.25（星期二），15:30-17:00
2016.10.26（星期三），15:30-17:00
2016.10.27（星期四），15:30-17:00
2016.10.28（星期五），15:30-17:00
地 点：数学院南楼 N818室
Abstract:
I will describe a conjecture related to the local Langlands correspondence. It says that given a discrete local Langlands parameter one should be able to construct an l-adic perverse sheaf on the perfectoid stack of G-bundles on the curve I defined and studied in my joint work with Fontaine. The stalks of this sheaf at semi-stable points should give a local Langlands correspondence for all extended pure inner forms of G, together with the internal structure of the local L-packets. The Hecke eigensheaf property for this sheaf implies the fact that those local Langlands correspondences are realized in the étale cohomology of local Shtuka moduli spaces (generalizations of Rapoport-Zink spaces by Scholze).
